SSM At one instant, force F → = 4.0 ^ N acts on a 0.25 kg object that has position vector r → = ( 2.0 i ^ − 2 .0 k ^ ) m and velocity vector v → = ( − 5.0 i ^ + 5 .0 k ^ ) m / s . About the origin and in unit-vector notation, what are (a) the object’s angular momentum and (b) the torque acting on the object?
SSM At one instant, force F → = 4.0 ^ N acts on a 0.25 kg object that has position vector r → = ( 2.0 i ^ − 2 .0 k ^ ) m and velocity vector v → = ( − 5.0 i ^ + 5 .0 k ^ ) m / s . About the origin and in unit-vector notation, what are (a) the object’s angular momentum and (b) the torque acting on the object?
SSM At one instant, force
F
→
=
4.0
^
N
acts on a 0.25 kg object that has position vector
r
→
=
(
2.0
i
^
−
2
.0
k
^
)
m
and velocity vector
v
→
=
(
−
5.0
i
^
+
5
.0
k
^
)
m
/
s
. About the origin and in unit-vector notation, what are (a) the object’s angular momentum and (b) the torque acting on the object?
Definition Definition Product of the moment of inertia and angular velocity of the rotating body: (L) = Iω Angular momentum is a vector quantity, and it has both magnitude and direction. The magnitude of angular momentum is represented by the length of the vector, and the direction is the same as the direction of angular velocity.
Three point-like charges in the attached image are placed at the corners of an equilateral triangle as shown in the figure. Each side of the triangle has a length of 38.0 cm, and the point (C) is located half way between q1 and q3 along the side. Find the magnitude of the electric field at point (C). Let q1 = −2.80 µC, q2 = −3.40 µC, and q3 = −4.50 µC. Thank you.
Three point-like charges are placed as shown in the attach image, where r1 = r2 = 44.0 cm. Find the magnitude of the electric force exerted on the charge q3. Let q1 = -1.90 uC, q2 = -2.60 uC, and q3 = +3.60 uC. Thank you.
The drawing attached shows an edge-on view of two planar surfaces that intersect and are mutually perpendicular. Surface (1) has an area of 1.90 m², while Surface (2) has an area of 3.90 m². The electric field in magnitude of 215 N/C. Find the magnitude of the electric flux through surface (1 and 2 combined) if the angle theta made between the electric field with surface (2) is 30.0 degrees. Thank you.
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